86076 has 24 divisors (see below), whose sum is σ = 223440. Its totient is φ = 28656.

The previous prime is 86069. The next prime is 86077. The reversal of 86076 is 67068.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2⁸⁶⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

86076 is an abundant number, since it is smaller than the sum of its proper divisors (137364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

86076 is a wasteful number, since it uses less digits than its factorization.

86076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86076 is about 293.3871162815. The cubic root of 86076 is about 44.1530482913.

It can be divided in two parts, 8 and 6076, that added together give a square (6084 = 78²).

The spelling of 86076 in words is "eighty-six thousand, seventy-six".